Recent Tutoring Session Reviews
"The student and I worked on her Math studies today. I continued to increase her knowledge of exponents and variables. I used her last test as a guide for practice problems. She shows a good understanding of the concepts I think that she really need repetition. I drilled her on some concepts that she missed on her last test just to make sure that she can continue to solve problems involving these concepts. We will continue with her Math studies next session."
"We spent this session reviewing integrals and the ways to solve them the student was taught in class. She hasn't reached advanced integration methods, so most of the integrals we solved today involved manipulating equations into an easier form so that the integral could be solved. I showed her the table of indefinite integrals found in her book and recommended she use that and the reference pages in the textbook to solve integrals. We also covered some basic applications of integrals and the first part of the Fundamental Theorem of Calculus."
"The student is a highly intelligent, highly motivated student. He can do complex calculus operations in his head, oftentimes multiple steps at a time. Today we worked on trig substitutions, U substitutions, and just general implicit differentiation and integration techniques. The student is a profoundly good mathematician, but he suffers not from moving too fast, but from not writing down enough of his work. In our running practice problems, we worked on being more explicit with our notation."
"We started off by reviewing the definitions of and differences between functions and relations. We transitioned to graphing relations and also creating graphs from tables. His attitude is great; I just think he hasn't developed the practice of reading every single word before trying to answer a problem. The strategy I employed was trying to pull back my guidance and direct him to read the directions, to look back in the book for definitions, and to reread the directions. The student is progressing visibly: after one arduous problem, he did the next two - which were similar to the first - quite well."
"We went over new materials today that have not been covered in class. The student decided to get ahead on his school work. He did several problems on quadratic equations using different strategies: extracting square roots, completing the square, using quadratic formula, AC method, and general factoring. We did not go over linear equations because he was already comfortable with the subject. He is a very quick learner. I asked him to get a graphic calculator so we can start practicing with it."
"For this session, I helped the student with exponential functions. I taught him starting from basic concepts such as function forms, components, graphing exponential functions and their transformations. He was able to understand the material quickly. Then we discussed example problems where I explained the solutions step-by-step. I also answered any questions he had about the functions in general. I next taught him word problems involving exponential functions along with concept of e, mathematical constant which is a base of the natural logarithm. At the end of session, I was able to help him with an overview of exponential functions and he felt good about the material. Our session was productive."